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Finding the Fourth Proportional to 6,870.38, 10,276.65 and 6,371.82

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Solution

The fourth proportional to 6,870.38, 10,276.65 and 6,371.82 is: 9,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.38 : 10,276.65 = 6,371.82 : x
  2. Step 2: Convert to fraction form
    6,870.38/10,276.65 = 6,371.82/x
  3. Step 3: Cross multiply
    6,870.38x = 10,276.65 × 6,371.82
  4. Step 4: Simplify right side
    6,870.38x = 65,480,964.00
  5. Step 5: Solve for x
    x = 65,480,964.00/6,870.38
  6. Step 6: Final answer
    x = 9,530.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.